{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "initial_id",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-07T01:22:51.159021400Z",
     "start_time": "2024-05-07T01:22:49.914782800Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import interp"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "# Running main yielded experimental results, including fpr, tpr, precision, recall, auc, and aupr for five-fold cross-validation"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "bca794d06c792ea9"
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "29fbcd3cf18436c0",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-07T01:22:51.350025200Z",
     "start_time": "2024-05-07T01:22:51.161019500Z"
    }
   },
   "outputs": [],
   "source": [
    "fprs=[[0.        , 0.        , 0.        , 0.        , 0.        ,\n",
    "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
    "       0.00373134, 0.00373134, 0.00746269, 0.00746269, 0.01119403,\n",
    "       0.01119403, 0.01492537, 0.01492537, 0.01865672, 0.01865672,\n",
    "       0.02238806, 0.02238806, 0.0261194 , 0.0261194 , 0.03358209,\n",
    "       0.03358209, 0.04477612, 0.04477612, 0.04850746, 0.04850746,\n",
    "       0.05223881, 0.05223881, 0.05970149, 0.05970149, 0.06716418,\n",
    "       0.06716418, 0.08955224, 0.08955224, 0.09328358, 0.09328358,\n",
    "       0.09701493, 0.09701493, 0.11940299, 0.11940299, 0.12313433,\n",
    "       0.12313433, 0.12686567, 0.12686567, 0.14552239, 0.14552239,\n",
    "       0.15671642, 0.15671642, 0.1641791 , 0.1641791 , 0.19029851,\n",
    "       0.19029851, 0.19402985, 0.19402985, 0.20522388, 0.20522388,\n",
    "       0.20895522, 0.20895522, 0.22014925, 0.22014925, 0.23507463,\n",
    "       0.23507463, 0.31343284, 0.31343284, 1.        ], [0.        , 0.        , 0.        , 0.        , 0.        ,\n",
    "       0.        , 0.00384615, 0.00769231, 0.00769231, 0.01538462,\n",
    "       0.01538462, 0.02307692, 0.02307692, 0.02692308, 0.02692308,\n",
    "       0.03076923, 0.03076923, 0.03461538, 0.03461538, 0.03846154,\n",
    "       0.03846154, 0.04230769, 0.04230769, 0.04615385, 0.04615385,\n",
    "       0.05      , 0.05      , 0.05384615, 0.05384615, 0.07692308,\n",
    "       0.07692308, 0.08076923, 0.08076923, 0.08461538, 0.08461538,\n",
    "       0.11538462, 0.11538462, 0.12307692, 0.12307692, 0.13846154,\n",
    "       0.13846154, 0.14230769, 0.14230769, 0.16923077, 0.16923077,\n",
    "       0.17307692, 0.17307692, 0.17692308, 0.17692308, 0.18076923,\n",
    "       0.18076923, 0.19230769, 0.19230769, 0.2       , 0.2       ,\n",
    "       0.20384615, 0.20384615, 0.21153846, 0.21153846, 0.21923077,\n",
    "       0.21923077, 0.31153846, 0.31153846, 0.31923077, 0.31923077,\n",
    "       1.        ], [0.        , 0.        , 0.        , 0.        , 0.        ,\n",
    "       0.        , 0.        , 0.        , 0.        , 0.00381679,\n",
    "       0.00381679, 0.00763359, 0.00763359, 0.01526718, 0.01526718,\n",
    "       0.02290076, 0.02290076, 0.02671756, 0.02671756, 0.03053435,\n",
    "       0.03053435, 0.03816794, 0.03816794, 0.04198473, 0.04198473,\n",
    "       0.04961832, 0.04961832, 0.05343511, 0.05343511, 0.05725191,\n",
    "       0.05725191, 0.0610687 , 0.0610687 , 0.0648855 , 0.0648855 ,\n",
    "       0.06870229, 0.06870229, 0.07251908, 0.07251908, 0.09160305,\n",
    "       0.09160305, 0.09541985, 0.09541985, 0.10305344, 0.10305344,\n",
    "       0.11450382, 0.11450382, 0.17175573, 0.17175573, 0.17938931,\n",
    "       0.17938931, 0.19465649, 0.19465649, 0.23664122, 0.23664122,\n",
    "       0.24427481, 0.24427481, 0.27480916, 0.27480916, 0.29389313,\n",
    "       0.29389313, 0.29770992, 0.29770992, 0.30916031, 0.30916031,\n",
    "       0.36641221, 0.36641221, 0.51526718, 0.51526718, 0.57251908,\n",
    "       0.57251908, 0.72900763, 0.72900763, 0.74045802, 0.74045802,\n",
    "       0.75572519, 0.75572519, 0.77862595, 0.77862595, 1.        ], [0.        , 0.        , 0.        , 0.        , 0.        ,\n",
    "       0.00328947, 0.00328947, 0.00657895, 0.00657895, 0.00986842,\n",
    "       0.00986842, 0.01315789, 0.01315789, 0.01644737, 0.01644737,\n",
    "       0.02960526, 0.02960526, 0.03289474, 0.03289474, 0.03618421,\n",
    "       0.03618421, 0.03947368, 0.03947368, 0.04276316, 0.04276316,\n",
    "       0.04934211, 0.04934211, 0.0625    , 0.0625    , 0.06907895,\n",
    "       0.06907895, 0.07565789, 0.07565789, 0.08552632, 0.08552632,\n",
    "       0.09539474, 0.09539474, 0.09868421, 0.09868421, 0.10197368,\n",
    "       0.10197368, 0.10855263, 0.10855263, 0.125     , 0.125     ,\n",
    "       0.12828947, 0.12828947, 0.18421053, 0.18421053, 0.19078947,\n",
    "       0.19078947, 0.20394737, 0.20394737, 0.21710526, 0.21710526,\n",
    "       0.23026316, 0.23026316, 0.26973684, 0.26973684, 0.27302632,\n",
    "       0.27302632, 0.29276316, 0.29276316, 0.30592105, 0.30592105,\n",
    "       0.38486842, 0.38486842, 0.40789474, 0.40789474, 0.45394737,\n",
    "       0.45394737, 0.45723684, 0.45723684, 0.62828947, 0.62828947,\n",
    "       0.65131579, 0.65131579, 1.        ], [0.        , 0.        , 0.        , 0.        , 0.        ,\n",
    "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
    "       0.        , 0.        , 0.0034965 , 0.0034965 , 0.00699301,\n",
    "       0.00699301, 0.01048951, 0.01048951, 0.01398601, 0.01398601,\n",
    "       0.01748252, 0.01748252, 0.02097902, 0.02097902, 0.03146853,\n",
    "       0.03146853, 0.03496503, 0.03496503, 0.03846154, 0.03846154,\n",
    "       0.04195804, 0.04195804, 0.04545455, 0.04545455, 0.05244755,\n",
    "       0.05244755, 0.05594406, 0.05594406, 0.06643357, 0.06643357,\n",
    "       0.07692308, 0.07692308, 0.08391608, 0.08391608, 0.22027972,\n",
    "       0.22027972, 0.22377622, 0.22377622, 0.30769231, 0.30769231,\n",
    "       0.31118881, 0.31118881, 1.        ]]\n",
    "tprs=[[0.        , 0.00352113, 0.01056338, 0.07042254, 0.07746479,\n",
    "       0.26408451, 0.27112676, 0.37676056, 0.38380282, 0.63732394,\n",
    "       0.63732394, 0.65492958, 0.65492958, 0.6584507 , 0.6584507 ,\n",
    "       0.69366197, 0.69366197, 0.74647887, 0.74647887, 0.76056338,\n",
    "       0.76056338, 0.83802817, 0.83802817, 0.84507042, 0.84507042,\n",
    "       0.84859155, 0.84859155, 0.85211268, 0.85211268, 0.8556338 ,\n",
    "       0.8556338 , 0.86619718, 0.86619718, 0.9084507 , 0.9084507 ,\n",
    "       0.91549296, 0.91549296, 0.92957746, 0.92957746, 0.93661972,\n",
    "       0.93661972, 0.94366197, 0.94366197, 0.9471831 , 0.9471831 ,\n",
    "       0.95070423, 0.95070423, 0.95422535, 0.95422535, 0.96126761,\n",
    "       0.96126761, 0.96478873, 0.96478873, 0.96830986, 0.96830986,\n",
    "       0.97183099, 0.97183099, 0.97535211, 0.97535211, 0.97887324,\n",
    "       0.97887324, 0.98591549, 0.98591549, 0.98943662, 0.98943662,\n",
    "       0.99295775, 0.99295775, 1.        , 1.        ], [0.        , 0.00342466, 0.01027397, 0.05821918, 0.06506849,\n",
    "       0.10958904, 0.1130137 , 0.1130137 , 0.5890411 , 0.5890411 ,\n",
    "       0.59931507, 0.59931507, 0.73630137, 0.73630137, 0.73972603,\n",
    "       0.73972603, 0.75      , 0.75      , 0.77054795, 0.77054795,\n",
    "       0.79109589, 0.79109589, 0.80479452, 0.80479452, 0.85616438,\n",
    "       0.85616438, 0.8630137 , 0.8630137 , 0.89041096, 0.89041096,\n",
    "       0.9109589 , 0.9109589 , 0.92123288, 0.92123288, 0.93150685,\n",
    "       0.93150685, 0.93493151, 0.93493151, 0.94520548, 0.94520548,\n",
    "       0.94863014, 0.94863014, 0.95547945, 0.95547945, 0.95890411,\n",
    "       0.95890411, 0.96575342, 0.96575342, 0.96917808, 0.96917808,\n",
    "       0.9760274 , 0.9760274 , 0.97945205, 0.97945205, 0.98287671,\n",
    "       0.98287671, 0.98630137, 0.98630137, 0.98972603, 0.98972603,\n",
    "       0.99315068, 0.99315068, 0.99657534, 0.99657534, 1.        ,\n",
    "       1.        ], [0.        , 0.00344828, 0.0137931 , 0.02068966, 0.12068966,\n",
    "       0.12758621, 0.48965517, 0.49655172, 0.77241379, 0.77241379,\n",
    "       0.77586207, 0.77586207, 0.77931034, 0.77931034, 0.78275862,\n",
    "       0.78275862, 0.7862069 , 0.7862069 , 0.8       , 0.8       ,\n",
    "       0.83793103, 0.83793103, 0.84482759, 0.84482759, 0.84827586,\n",
    "       0.84827586, 0.85172414, 0.85172414, 0.85517241, 0.85517241,\n",
    "       0.86551724, 0.86551724, 0.87586207, 0.87586207, 0.89310345,\n",
    "       0.89310345, 0.90689655, 0.90689655, 0.91034483, 0.91034483,\n",
    "       0.91724138, 0.91724138, 0.92413793, 0.92413793, 0.93103448,\n",
    "       0.93103448, 0.93793103, 0.93793103, 0.94137931, 0.94137931,\n",
    "       0.94827586, 0.94827586, 0.95172414, 0.95172414, 0.95517241,\n",
    "       0.95517241, 0.95862069, 0.95862069, 0.96206897, 0.96206897,\n",
    "       0.96551724, 0.96551724, 0.96896552, 0.96896552, 0.97241379,\n",
    "       0.97241379, 0.97931034, 0.97931034, 0.98275862, 0.98275862,\n",
    "       0.9862069 , 0.9862069 , 0.98965517, 0.98965517, 0.99310345,\n",
    "       0.99310345, 0.99655172, 0.99655172, 1.        , 1.        ], [0.        , 0.00403226, 0.25      , 0.25806452, 0.62903226,\n",
    "       0.62903226, 0.70564516, 0.70564516, 0.77016129, 0.77016129,\n",
    "       0.78225806, 0.78225806, 0.78629032, 0.78629032, 0.79435484,\n",
    "       0.79435484, 0.81451613, 0.81451613, 0.84677419, 0.84677419,\n",
    "       0.85080645, 0.85080645, 0.85483871, 0.85483871, 0.85887097,\n",
    "       0.85887097, 0.87096774, 0.87096774, 0.88306452, 0.88306452,\n",
    "       0.88709677, 0.88709677, 0.89112903, 0.89112903, 0.90322581,\n",
    "       0.90322581, 0.90725806, 0.90725806, 0.91532258, 0.91532258,\n",
    "       0.91935484, 0.91935484, 0.9233871 , 0.9233871 , 0.92741935,\n",
    "       0.92741935, 0.93548387, 0.93548387, 0.93951613, 0.93951613,\n",
    "       0.94354839, 0.94354839, 0.94758065, 0.94758065, 0.95564516,\n",
    "       0.95564516, 0.95967742, 0.95967742, 0.96370968, 0.96370968,\n",
    "       0.96774194, 0.96774194, 0.97177419, 0.97177419, 0.97580645,\n",
    "       0.97580645, 0.97983871, 0.97983871, 0.98387097, 0.98387097,\n",
    "       0.98790323, 0.98790323, 0.99193548, 0.99193548, 0.99596774,\n",
    "       0.99596774, 1.        , 1.        ], [0.        , 0.0037594 , 0.0112782 , 0.04135338, 0.05263158,\n",
    "       0.06766917, 0.07518797, 0.10902256, 0.11654135, 0.21052632,\n",
    "       0.21804511, 0.66917293, 0.66917293, 0.68796992, 0.68796992,\n",
    "       0.72932331, 0.72932331, 0.7443609 , 0.7443609 , 0.7481203 ,\n",
    "       0.7481203 , 0.76315789, 0.76315789, 0.76691729, 0.76691729,\n",
    "       0.77067669, 0.77067669, 0.81578947, 0.81578947, 0.83458647,\n",
    "       0.83458647, 0.89473684, 0.89473684, 0.91353383, 0.91353383,\n",
    "       0.92857143, 0.92857143, 0.94736842, 0.94736842, 0.95112782,\n",
    "       0.95112782, 0.96992481, 0.96992481, 0.98496241, 0.98496241,\n",
    "       0.9887218 , 0.9887218 , 0.9924812 , 0.9924812 , 0.9962406 ,\n",
    "       0.9962406 , 1.        , 1.        ]]\n",
    "\n",
    "precisions=[[0.51449275, 0.5154265 , 0.51636364, 0.51730419, 0.51824818,\n",
    "       0.51919561, 0.52014652, 0.52110092, 0.52205882, 0.52302026,\n",
    "       0.52398524, 0.52495379, 0.52592593, 0.52690167, 0.52788104,\n",
    "       0.52886406, 0.52985075, 0.53084112, 0.53183521, 0.53283302,\n",
    "       0.53383459, 0.53483992, 0.53584906, 0.536862  , 0.53787879,\n",
    "       0.53889943, 0.53992395, 0.54095238, 0.54198473, 0.54302103,\n",
    "       0.5440613 , 0.54510557, 0.54615385, 0.54720617, 0.54826255,\n",
    "       0.54932302, 0.5503876 , 0.55145631, 0.55252918, 0.55360624,\n",
    "       0.5546875 , 0.55577299, 0.55686275, 0.55795678, 0.55905512,\n",
    "       0.56015779, 0.56126482, 0.56237624, 0.56349206, 0.56461233,\n",
    "       0.56573705, 0.56686627, 0.568     , 0.56913828, 0.57028112,\n",
    "       0.57142857, 0.57258065, 0.57373737, 0.57489879, 0.57606491,\n",
    "       0.57723577, 0.57841141, 0.57959184, 0.5807771 , 0.58196721,\n",
    "       0.58316222, 0.58436214, 0.58556701, 0.58677686, 0.58799172,\n",
    "       0.58921162, 0.59043659, 0.59166667, 0.59290188, 0.59414226,\n",
    "       0.59538784, 0.59663866, 0.59789474, 0.59915612, 0.60042283,\n",
    "       0.60169492, 0.6029724 , 0.60425532, 0.60554371, 0.60683761,\n",
    "       0.60813704, 0.60944206, 0.61075269, 0.61206897, 0.61339093,\n",
    "       0.61471861, 0.61605206, 0.6173913 , 0.61873638, 0.62008734,\n",
    "       0.6214442 , 0.62280702, 0.62417582, 0.62555066, 0.62693157,\n",
    "       0.62831858, 0.62971175, 0.63111111, 0.6325167 , 0.63392857,\n",
    "       0.63534676, 0.6367713 , 0.63820225, 0.63963964, 0.64108352,\n",
    "       0.64253394, 0.64399093, 0.64545455, 0.64692483, 0.64840183,\n",
    "       0.64988558, 0.65137615, 0.65287356, 0.65437788, 0.65588915,\n",
    "       0.65740741, 0.65893271, 0.66046512, 0.66200466, 0.6635514 ,\n",
    "       0.66510539, 0.66666667, 0.66823529, 0.66981132, 0.6713948 ,\n",
    "       0.67298578, 0.67458432, 0.67619048, 0.6778043 , 0.67942584,\n",
    "       0.68105516, 0.68269231, 0.68433735, 0.68599034, 0.68765133,\n",
    "       0.68932039, 0.69099757, 0.69268293, 0.69437653, 0.69607843,\n",
    "       0.6977887 , 0.69950739, 0.70123457, 0.7029703 , 0.70471464,\n",
    "       0.70646766, 0.70822943, 0.71      , 0.71177945, 0.71356784,\n",
    "       0.71536524, 0.71717172, 0.71898734, 0.72081218, 0.72264631,\n",
    "       0.7244898 , 0.72634271, 0.72820513, 0.73007712, 0.73195876,\n",
    "       0.73385013, 0.7357513 , 0.73766234, 0.73958333, 0.74151436,\n",
    "       0.7434555 , 0.74540682, 0.74736842, 0.74934037, 0.75132275,\n",
    "       0.75331565, 0.75531915, 0.75733333, 0.75935829, 0.7613941 ,\n",
    "       0.76344086, 0.76549865, 0.76756757, 0.7696477 , 0.77173913,\n",
    "       0.77111717, 0.7704918 , 0.77260274, 0.77472527, 0.7768595 ,\n",
    "       0.77900552, 0.78116343, 0.78333333, 0.78551532, 0.7877095 ,\n",
    "       0.78991597, 0.79213483, 0.7943662 , 0.79661017, 0.79886686,\n",
    "       0.80113636, 0.8034188 , 0.80571429, 0.80802292, 0.81034483,\n",
    "       0.81268012, 0.8150289 , 0.8173913 , 0.81686047, 0.81924198,\n",
    "       0.82163743, 0.82404692, 0.82647059, 0.8259587 , 0.82840237,\n",
    "       0.83086053, 0.83333333, 0.83283582, 0.83233533, 0.83483483,\n",
    "       0.83433735, 0.83685801, 0.83939394, 0.84194529, 0.84146341,\n",
    "       0.8440367 , 0.84355828, 0.84615385, 0.84876543, 0.85139319,\n",
    "       0.85403727, 0.85669782, 0.859375  , 0.86206897, 0.86163522,\n",
    "       0.86435331, 0.86708861, 0.86666667, 0.86942675, 0.87220447,\n",
    "       0.875     , 0.87459807, 0.87419355, 0.87702265, 0.87987013,\n",
    "       0.88273616, 0.88562092, 0.88852459, 0.88815789, 0.89108911,\n",
    "       0.89072848, 0.89368771, 0.89333333, 0.89632107, 0.89932886,\n",
    "       0.9023569 , 0.90540541, 0.90847458, 0.91156463, 0.9112628 ,\n",
    "       0.9109589 , 0.91408935, 0.9137931 , 0.91349481, 0.91666667,\n",
    "       0.91637631, 0.91608392, 0.91578947, 0.91549296, 0.91872792,\n",
    "       0.92198582, 0.9252669 , 0.92857143, 0.93189964, 0.9352518 ,\n",
    "       0.93501805, 0.93478261, 0.93818182, 0.94160584, 0.94139194,\n",
    "       0.94117647, 0.94095941, 0.94074074, 0.94052045, 0.94029851,\n",
    "       0.94007491, 0.93984962, 0.93962264, 0.93939394, 0.9391635 ,\n",
    "       0.9389313 , 0.94252874, 0.94615385, 0.94594595, 0.94573643,\n",
    "       0.94552529, 0.94921875, 0.94901961, 0.95275591, 0.95256917,\n",
    "       0.95634921, 0.96015936, 0.964     , 0.96385542, 0.96774194,\n",
    "       0.97165992, 0.97154472, 0.97142857, 0.97540984, 0.97530864,\n",
    "       0.97520661, 0.97510373, 0.975     , 0.9748954 , 0.97478992,\n",
    "       0.97468354, 0.97457627, 0.97446809, 0.97435897, 0.97424893,\n",
    "       0.97413793, 0.97402597, 0.97391304, 0.97379913, 0.97368421,\n",
    "       0.97356828, 0.97345133, 0.97333333, 0.97321429, 0.97309417,\n",
    "       0.97297297, 0.97737557, 0.97727273, 0.97716895, 0.97706422,\n",
    "       0.97695853, 0.98148148, 0.98139535, 0.98130841, 0.98122066,\n",
    "       0.98113208, 0.98104265, 0.98095238, 0.98086124, 0.98076923,\n",
    "       0.98067633, 0.98058252, 0.9804878 , 0.98039216, 0.98029557,\n",
    "       0.98019802, 0.9800995 , 0.985     , 0.98492462, 0.98484848,\n",
    "       0.98477157, 0.98469388, 0.98461538, 0.98453608, 0.98445596,\n",
    "       0.984375  , 0.98429319, 0.98421053, 0.98941799, 0.9893617 ,\n",
    "       0.99465241, 0.99462366, 0.99459459, 0.99456522, 0.99453552,\n",
    "       0.99450549, 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        ], [0.52898551, 0.52994555, 0.53090909, 0.53187614, 0.53284672,\n",
    "       0.53382084, 0.53479853, 0.53577982, 0.53676471, 0.53775322,\n",
    "       0.53874539, 0.53974122, 0.54074074, 0.54174397, 0.54275093,\n",
    "       0.54376164, 0.54477612, 0.54579439, 0.54681648, 0.5478424 ,\n",
    "       0.54887218, 0.54990584, 0.5509434 , 0.55198488, 0.5530303 ,\n",
    "       0.5540797 , 0.55513308, 0.55619048, 0.55725191, 0.5583174 ,\n",
    "       0.55938697, 0.56046065, 0.56153846, 0.56262042, 0.56370656,\n",
    "       0.56479691, 0.56589147, 0.56699029, 0.56809339, 0.56920078,\n",
    "       0.5703125 , 0.57142857, 0.57254902, 0.57367387, 0.57480315,\n",
    "       0.57593688, 0.5770751 , 0.57821782, 0.57936508, 0.5805169 ,\n",
    "       0.58167331, 0.58283433, 0.584     , 0.58517034, 0.58634538,\n",
    "       0.58752515, 0.58870968, 0.58989899, 0.59109312, 0.59229209,\n",
    "       0.59349593, 0.59470468, 0.59591837, 0.59713701, 0.59836066,\n",
    "       0.59958932, 0.60082305, 0.60206186, 0.60330579, 0.60455487,\n",
    "       0.60580913, 0.60706861, 0.60833333, 0.60960334, 0.61087866,\n",
    "       0.61215933, 0.61344538, 0.61473684, 0.61603376, 0.61733615,\n",
    "       0.61864407, 0.61995754, 0.6212766 , 0.62260128, 0.62393162,\n",
    "       0.62526767, 0.62660944, 0.62795699, 0.62931034, 0.63066955,\n",
    "       0.63203463, 0.63340564, 0.63478261, 0.63616558, 0.63755459,\n",
    "       0.63894967, 0.64035088, 0.64175824, 0.64317181, 0.64459161,\n",
    "       0.6460177 , 0.64745011, 0.64888889, 0.65033408, 0.65178571,\n",
    "       0.65324385, 0.65470852, 0.65617978, 0.65765766, 0.65914221,\n",
    "       0.66063348, 0.66213152, 0.66363636, 0.66514806, 0.66666667,\n",
    "       0.66819222, 0.66972477, 0.67126437, 0.67281106, 0.6743649 ,\n",
    "       0.67592593, 0.6774942 , 0.67906977, 0.68065268, 0.68224299,\n",
    "       0.68384075, 0.68544601, 0.68705882, 0.68867925, 0.69030733,\n",
    "       0.69194313, 0.6935867 , 0.6952381 , 0.69689737, 0.69856459,\n",
    "       0.70023981, 0.70192308, 0.70361446, 0.70531401, 0.70702179,\n",
    "       0.70873786, 0.71046229, 0.71219512, 0.71393643, 0.71568627,\n",
    "       0.71744472, 0.71921182, 0.72098765, 0.72277228, 0.72456576,\n",
    "       0.72636816, 0.72817955, 0.73      , 0.73182957, 0.73366834,\n",
    "       0.73551637, 0.73737374, 0.73924051, 0.74111675, 0.74300254,\n",
    "       0.74489796, 0.74680307, 0.74871795, 0.75064267, 0.75257732,\n",
    "       0.75452196, 0.75647668, 0.75844156, 0.76041667, 0.76240209,\n",
    "       0.76439791, 0.7664042 , 0.76842105, 0.77044855, 0.77248677,\n",
    "       0.77453581, 0.77659574, 0.77866667, 0.77807487, 0.78016086,\n",
    "       0.78225806, 0.78167116, 0.78378378, 0.78590786, 0.78804348,\n",
    "       0.79019074, 0.79234973, 0.79452055, 0.7967033 , 0.79889807,\n",
    "       0.80110497, 0.8033241 , 0.80555556, 0.80779944, 0.81005587,\n",
    "       0.81232493, 0.81460674, 0.81690141, 0.81920904, 0.82152975,\n",
    "       0.82386364, 0.82621083, 0.82857143, 0.83094556, 0.83333333,\n",
    "       0.83573487, 0.83526012, 0.83768116, 0.84011628, 0.83965015,\n",
    "       0.84210526, 0.84457478, 0.84411765, 0.84660767, 0.84615385,\n",
    "       0.84866469, 0.85119048, 0.85074627, 0.85329341, 0.85585586,\n",
    "       0.85843373, 0.85800604, 0.85757576, 0.86018237, 0.8597561 ,\n",
    "       0.86238532, 0.86196319, 0.86153846, 0.86419753, 0.86377709,\n",
    "       0.86645963, 0.86915888, 0.871875  , 0.87460815, 0.87735849,\n",
    "       0.88012618, 0.88291139, 0.88253968, 0.88216561, 0.88498403,\n",
    "       0.88461538, 0.88745981, 0.89032258, 0.89320388, 0.8961039 ,\n",
    "       0.89576547, 0.89542484, 0.89508197, 0.89802632, 0.9009901 ,\n",
    "       0.90066225, 0.90365449, 0.90666667, 0.909699  , 0.91275168,\n",
    "       0.91582492, 0.91891892, 0.9220339 , 0.92517007, 0.92491468,\n",
    "       0.92465753, 0.92439863, 0.92758621, 0.92733564, 0.92708333,\n",
    "       0.92682927, 0.93006993, 0.92982456, 0.92957746, 0.92932862,\n",
    "       0.92907801, 0.92882562, 0.92857143, 0.93189964, 0.9352518 ,\n",
    "       0.93862816, 0.94202899, 0.94545455, 0.94890511, 0.94871795,\n",
    "       0.94852941, 0.94833948, 0.94814815, 0.94795539, 0.94776119,\n",
    "       0.94756554, 0.94736842, 0.9509434 , 0.95075758, 0.95057034,\n",
    "       0.95419847, 0.95402299, 0.95384615, 0.95366795, 0.95348837,\n",
    "       0.95330739, 0.953125  , 0.95294118, 0.95275591, 0.95256917,\n",
    "       0.95238095, 0.95219124, 0.952     , 0.95180723, 0.9516129 ,\n",
    "       0.951417  , 0.95528455, 0.95510204, 0.95491803, 0.95473251,\n",
    "       0.95454545, 0.95850622, 0.95833333, 0.958159  , 0.95798319,\n",
    "       0.95780591, 0.95762712, 0.95744681, 0.96153846, 0.96137339,\n",
    "       0.9612069 , 0.96103896, 0.96086957, 0.96069869, 0.96052632,\n",
    "       0.96475771, 0.96460177, 0.96444444, 0.96428571, 0.96860987,\n",
    "       0.96846847, 0.97285068, 0.97272727, 0.97260274, 0.97247706,\n",
    "       0.97235023, 0.97222222, 0.97209302, 0.97196262, 0.97183099,\n",
    "       0.97169811, 0.97156398, 0.97142857, 0.97129187, 0.97115385,\n",
    "       0.97101449, 0.97087379, 0.97073171, 0.97058824, 0.97044335,\n",
    "       0.97029703, 0.97014925, 0.97      , 0.96984925, 0.96969697,\n",
    "       0.96954315, 0.96938776, 0.96923077, 0.96907216, 0.96891192,\n",
    "       0.96875   , 0.96858639, 0.96842105, 0.96825397, 0.96808511,\n",
    "       0.96791444, 0.96774194, 0.96756757, 0.9673913 , 0.96721311,\n",
    "       0.96703297, 0.96685083, 0.97222222, 0.97765363, 0.97752809,\n",
    "       0.97740113, 0.97727273, 0.98285714, 0.98850575, 0.98843931,\n",
    "       0.98837209, 0.98830409, 0.98823529, 0.98816568, 0.98809524,\n",
    "       0.98802395, 0.98795181, 0.98787879, 0.98780488, 0.98773006,\n",
    "       0.98765432, 0.98757764, 0.9875    , 0.98742138, 0.98734177,\n",
    "       0.98726115, 0.98717949, 0.98709677, 0.98701299, 0.9869281 ,\n",
    "       0.98684211, 0.98675497, 0.98666667, 0.98657718, 0.98648649,\n",
    "       0.98639456, 0.98630137, 0.9862069 , 0.98611111, 0.98601399,\n",
    "       0.98591549, 0.9858156 , 0.98571429, 0.98561151, 0.98550725,\n",
    "       0.98540146, 0.98529412, 0.98518519, 0.98507463, 0.98496241,\n",
    "       0.98484848, 0.98473282, 0.98461538, 0.98449612, 0.984375  ,\n",
    "       0.98425197, 0.98412698, 0.984     , 0.98387097, 0.98373984,\n",
    "       0.98360656, 0.98347107, 0.98333333, 0.98319328, 0.98305085,\n",
    "       0.98290598, 0.98275862, 0.9826087 , 0.98245614, 0.98230088,\n",
    "       0.98214286, 0.98198198, 0.98181818, 0.98165138, 0.98148148,\n",
    "       0.98130841, 0.98113208, 0.98095238, 0.98076923, 0.98058252,\n",
    "       0.98039216, 0.98019802, 0.98      , 0.97979798, 0.97959184,\n",
    "       0.97938144, 0.97916667, 0.97894737, 0.9787234 , 0.97849462,\n",
    "       0.97826087, 0.97802198, 0.97777778, 0.97752809, 0.97727273,\n",
    "       0.97701149, 0.97674419, 0.97647059, 0.97619048, 0.97590361,\n",
    "       0.97560976, 0.97530864, 0.975     , 0.97468354, 0.97435897,\n",
    "       0.97402597, 0.97368421, 0.97333333, 0.97297297, 0.97260274,\n",
    "       0.97222222, 0.97183099, 0.97142857, 0.97101449, 0.97058824,\n",
    "       0.97014925, 0.96969697, 0.96923077, 0.96875   , 0.96825397,\n",
    "       0.96774194, 0.96721311, 0.96666667, 0.96610169, 0.96551724,\n",
    "       0.96491228, 0.96428571, 0.96363636, 0.96296296, 0.96226415,\n",
    "       0.96153846, 0.96078431, 0.96      , 0.95918367, 0.95833333,\n",
    "       0.95744681, 0.95652174, 0.95555556, 0.95454545, 0.95348837,\n",
    "       0.95238095, 0.95121951, 0.95      , 0.94871795, 0.94736842,\n",
    "       0.94594595, 0.94444444, 0.94285714, 0.97058824, 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ], [0.52536232, 0.52631579, 0.52727273, 0.52823315, 0.52919708,\n",
    "       0.53016453, 0.53113553, 0.53211009, 0.53308824, 0.53406998,\n",
    "       0.53505535, 0.53604436, 0.53703704, 0.5380334 , 0.53903346,\n",
    "       0.54003724, 0.54104478, 0.54205607, 0.54307116, 0.54409006,\n",
    "       0.54511278, 0.54613936, 0.54716981, 0.54820416, 0.54924242,\n",
    "       0.55028463, 0.5513308 , 0.55238095, 0.55343511, 0.55449331,\n",
    "       0.55555556, 0.55662188, 0.55769231, 0.55876686, 0.55984556,\n",
    "       0.56092843, 0.5620155 , 0.5631068 , 0.56420233, 0.56530214,\n",
    "       0.56640625, 0.56751468, 0.56862745, 0.5697446 , 0.57086614,\n",
    "       0.57199211, 0.57312253, 0.57425743, 0.57539683, 0.57654076,\n",
    "       0.57768924, 0.57884232, 0.58      , 0.58116232, 0.58232932,\n",
    "       0.58350101, 0.58467742, 0.58585859, 0.58704453, 0.5862069 ,\n",
    "       0.58739837, 0.5885947 , 0.58979592, 0.59100204, 0.59221311,\n",
    "       0.59342916, 0.59259259, 0.59381443, 0.59504132, 0.59627329,\n",
    "       0.59751037, 0.5966736 , 0.59791667, 0.59916493, 0.60041841,\n",
    "       0.59958071, 0.60084034, 0.60210526, 0.60337553, 0.60465116,\n",
    "       0.6059322 , 0.60721868, 0.60851064, 0.6098081 , 0.61111111,\n",
    "       0.6124197 , 0.61373391, 0.61505376, 0.61637931, 0.61771058,\n",
    "       0.61904762, 0.62039046, 0.62173913, 0.62309368, 0.62445415,\n",
    "       0.62582057, 0.62719298, 0.62857143, 0.62995595, 0.63134658,\n",
    "       0.63274336, 0.63414634, 0.63555556, 0.63697105, 0.63839286,\n",
    "       0.63982103, 0.64125561, 0.64269663, 0.64414414, 0.64559819,\n",
    "       0.64705882, 0.64852608, 0.65      , 0.65148064, 0.65296804,\n",
    "       0.65446224, 0.6559633 , 0.65517241, 0.65668203, 0.65819861,\n",
    "       0.65972222, 0.6612529 , 0.6627907 , 0.66433566, 0.66588785,\n",
    "       0.66744731, 0.66901408, 0.67058824, 0.67216981, 0.67375887,\n",
    "       0.67535545, 0.67695962, 0.67857143, 0.6778043 , 0.67942584,\n",
    "       0.68105516, 0.68269231, 0.68433735, 0.68599034, 0.68765133,\n",
    "       0.68932039, 0.69099757, 0.69268293, 0.69437653, 0.69607843,\n",
    "       0.6977887 , 0.69950739, 0.70123457, 0.7029703 , 0.70471464,\n",
    "       0.70646766, 0.70822943, 0.71      , 0.71177945, 0.71356784,\n",
    "       0.71536524, 0.71717172, 0.71898734, 0.72081218, 0.72264631,\n",
    "       0.7244898 , 0.72634271, 0.72820513, 0.73007712, 0.73195876,\n",
    "       0.73385013, 0.7357513 , 0.73766234, 0.73958333, 0.74151436,\n",
    "       0.7434555 , 0.74540682, 0.74736842, 0.74670185, 0.74603175,\n",
    "       0.74801061, 0.75      , 0.752     , 0.7540107 , 0.75603217,\n",
    "       0.75806452, 0.76010782, 0.76216216, 0.76422764, 0.76630435,\n",
    "       0.76839237, 0.7704918 , 0.77260274, 0.77472527, 0.7768595 ,\n",
    "       0.77624309, 0.77839335, 0.78055556, 0.78272981, 0.78212291,\n",
    "       0.78431373, 0.78370787, 0.78591549, 0.78813559, 0.79036827,\n",
    "       0.79261364, 0.79487179, 0.79428571, 0.7965616 , 0.79885057,\n",
    "       0.80115274, 0.80346821, 0.8057971 , 0.80813953, 0.81049563,\n",
    "       0.8128655 , 0.81231672, 0.81470588, 0.81710914, 0.81656805,\n",
    "       0.8189911 , 0.82142857, 0.8238806 , 0.82634731, 0.82882883,\n",
    "       0.8313253 , 0.83383686, 0.83636364, 0.83890578, 0.84146341,\n",
    "       0.8440367 , 0.84355828, 0.84615385, 0.84876543, 0.85139319,\n",
    "       0.85403727, 0.85358255, 0.853125  , 0.85579937, 0.85849057,\n",
    "       0.85804416, 0.86075949, 0.86349206, 0.86624204, 0.86900958,\n",
    "       0.87179487, 0.87459807, 0.87741935, 0.8802589 , 0.88311688,\n",
    "       0.88599349, 0.88888889, 0.89180328, 0.89473684, 0.89768977,\n",
    "       0.90066225, 0.90033223, 0.9       , 0.90301003, 0.90604027,\n",
    "       0.90909091, 0.90878378, 0.90847458, 0.91156463, 0.91467577,\n",
    "       0.91438356, 0.91408935, 0.91724138, 0.91695502, 0.91666667,\n",
    "       0.91986063, 0.92307692, 0.92631579, 0.92957746, 0.93286219,\n",
    "       0.93262411, 0.93594306, 0.93571429, 0.93548387, 0.9352518 ,\n",
    "       0.93501805, 0.9384058 , 0.93818182, 0.9379562 , 0.93772894,\n",
    "       0.9375    , 0.93726937, 0.94074074, 0.94052045, 0.94029851,\n",
    "       0.94007491, 0.94360902, 0.94339623, 0.94318182, 0.94296578,\n",
    "       0.94656489, 0.94636015, 0.95      , 0.94980695, 0.95348837,\n",
    "       0.95719844, 0.95703125, 0.96078431, 0.96062992, 0.96047431,\n",
    "       0.96428571, 0.96812749, 0.968     , 0.96787149, 0.96774194,\n",
    "       0.96761134, 0.96747967, 0.96734694, 0.96721311, 0.96707819,\n",
    "       0.96694215, 0.96680498, 0.96666667, 0.9707113 , 0.97058824,\n",
    "       0.97046414, 0.97033898, 0.97021277, 0.97435897, 0.97424893,\n",
    "       0.97844828, 0.98268398, 0.9826087 , 0.98689956, 0.99122807,\n",
    "       0.99118943, 0.99557522, 0.99555556, 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ], [0.44927536, 0.45009074, 0.45090909, 0.45173042, 0.45255474,\n",
    "       0.45338208, 0.45421245, 0.45504587, 0.45588235, 0.45672192,\n",
    "       0.45756458, 0.45841035, 0.45925926, 0.46011132, 0.46096654,\n",
    "       0.46182495, 0.46268657, 0.4635514 , 0.46441948, 0.46529081,\n",
    "       0.46616541, 0.46704331, 0.46792453, 0.46880907, 0.46969697,\n",
    "       0.47058824, 0.47148289, 0.47238095, 0.47328244, 0.47418738,\n",
    "       0.47509579, 0.47600768, 0.47692308, 0.477842  , 0.47876448,\n",
    "       0.47969052, 0.48062016, 0.4815534 , 0.48249027, 0.4834308 ,\n",
    "       0.484375  , 0.4853229 , 0.48627451, 0.48722986, 0.48818898,\n",
    "       0.48915187, 0.49011858, 0.49108911, 0.49206349, 0.49304175,\n",
    "       0.4940239 , 0.49500998, 0.496     , 0.49699399, 0.49799197,\n",
    "       0.49899396, 0.5       , 0.5010101 , 0.50202429, 0.5030426 ,\n",
    "       0.50406504, 0.50509165, 0.50612245, 0.50715746, 0.50819672,\n",
    "       0.50924025, 0.51028807, 0.51134021, 0.51239669, 0.51345756,\n",
    "       0.51452282, 0.51559252, 0.51666667, 0.5177453 , 0.51882845,\n",
    "       0.51991614, 0.5210084 , 0.52210526, 0.52320675, 0.5243129 ,\n",
    "       0.52542373, 0.52653928, 0.52765957, 0.52878465, 0.52991453,\n",
    "       0.53104925, 0.53218884, 0.53333333, 0.53448276, 0.53563715,\n",
    "       0.53679654, 0.53796095, 0.53913043, 0.54030501, 0.54148472,\n",
    "       0.54266958, 0.54385965, 0.54505495, 0.54625551, 0.54746137,\n",
    "       0.54867257, 0.54988914, 0.55111111, 0.55233853, 0.55357143,\n",
    "       0.55480984, 0.55605381, 0.55505618, 0.55630631, 0.55756208,\n",
    "       0.55882353, 0.5600907 , 0.56136364, 0.56264237, 0.56392694,\n",
    "       0.56292906, 0.56422018, 0.56551724, 0.56682028, 0.56812933,\n",
    "       0.56944444, 0.57076566, 0.57209302, 0.57342657, 0.57476636,\n",
    "       0.57611241, 0.57746479, 0.57882353, 0.58018868, 0.58156028,\n",
    "       0.58293839, 0.58432304, 0.58571429, 0.58711217, 0.58851675,\n",
    "       0.58992806, 0.59134615, 0.59277108, 0.5942029 , 0.59564165,\n",
    "       0.59708738, 0.59854015, 0.6       , 0.60146699, 0.60294118,\n",
    "       0.6044226 , 0.60591133, 0.60740741, 0.60891089, 0.61042184,\n",
    "       0.6119403 , 0.61346633, 0.615     , 0.61654135, 0.61809045,\n",
    "       0.61964736, 0.62121212, 0.62278481, 0.62436548, 0.6259542 ,\n",
    "       0.62755102, 0.62915601, 0.63076923, 0.63239075, 0.63402062,\n",
    "       0.63565891, 0.6373057 , 0.63896104, 0.63802083, 0.63968668,\n",
    "       0.63874346, 0.64041995, 0.64210526, 0.64379947, 0.64550265,\n",
    "       0.64721485, 0.64893617, 0.65066667, 0.65240642, 0.6541555 ,\n",
    "       0.65591398, 0.65768194, 0.65945946, 0.66124661, 0.66304348,\n",
    "       0.66212534, 0.66393443, 0.66575342, 0.66758242, 0.66942149,\n",
    "       0.67127072, 0.67313019, 0.675     , 0.67409471, 0.67597765,\n",
    "       0.67787115, 0.67977528, 0.68169014, 0.68361582, 0.68555241,\n",
    "       0.6875    , 0.68945869, 0.69142857, 0.69340974, 0.6954023 ,\n",
    "       0.69740634, 0.69942197, 0.70144928, 0.70348837, 0.70553936,\n",
    "       0.70760234, 0.70967742, 0.71176471, 0.71386431, 0.71597633,\n",
    "       0.71810089, 0.7202381 , 0.72238806, 0.72155689, 0.72372372,\n",
    "       0.72590361, 0.72809668, 0.73030303, 0.72948328, 0.73170732,\n",
    "       0.73394495, 0.73619632, 0.73846154, 0.74074074, 0.74303406,\n",
    "       0.74223602, 0.74454829, 0.74375   , 0.7460815 , 0.74842767,\n",
    "       0.75078864, 0.75316456, 0.75555556, 0.75796178, 0.76038339,\n",
    "       0.76282051, 0.76527331, 0.76774194, 0.77022654, 0.77272727,\n",
    "       0.77198697, 0.7745098 , 0.77704918, 0.77960526, 0.78217822,\n",
    "       0.78145695, 0.7807309 , 0.78333333, 0.78595318, 0.7885906 ,\n",
    "       0.79124579, 0.79054054, 0.79322034, 0.79591837, 0.79863481,\n",
    "       0.80136986, 0.80068729, 0.80344828, 0.80622837, 0.80555556,\n",
    "       0.80836237, 0.81118881, 0.81403509, 0.81690141, 0.81978799,\n",
    "       0.82269504, 0.82562278, 0.82857143, 0.83154122, 0.83453237,\n",
    "       0.83754513, 0.84057971, 0.84363636, 0.84671533, 0.84981685,\n",
    "       0.85294118, 0.85608856, 0.85555556, 0.85501859, 0.85820896,\n",
    "       0.8576779 , 0.86090226, 0.86415094, 0.86742424, 0.87072243,\n",
    "       0.8740458 , 0.87356322, 0.87692308, 0.88030888, 0.87984496,\n",
    "       0.88326848, 0.8828125 , 0.88235294, 0.88582677, 0.88537549,\n",
    "       0.88888889, 0.89243028, 0.896     , 0.89558233, 0.89516129,\n",
    "       0.89473684, 0.89837398, 0.90204082, 0.9057377 , 0.90534979,\n",
    "       0.90909091, 0.91286307, 0.9125    , 0.91631799, 0.92016807,\n",
    "       0.91983122, 0.91949153, 0.91914894, 0.92307692, 0.92703863,\n",
    "       0.93103448, 0.93506494, 0.93478261, 0.93449782, 0.93421053,\n",
    "       0.93832599, 0.94247788, 0.94222222, 0.94642857, 0.94618834,\n",
    "       0.95045045, 0.95022624, 0.95454545, 0.9543379 , 0.95412844,\n",
    "       0.95391705, 0.9537037 , 0.95348837, 0.95327103, 0.95305164,\n",
    "       0.95283019, 0.95734597, 0.95714286, 0.9569378 , 0.95673077,\n",
    "       0.95652174, 0.95631068, 0.96097561, 0.96568627, 0.97044335,\n",
    "       0.97524752, 0.97512438, 0.975     , 0.9798995 , 0.97979798,\n",
    "       0.98477157, 0.98469388, 0.98461538, 0.98453608, 0.98963731,\n",
    "       0.98958333, 0.9895288 , 0.98947368, 0.98941799, 0.9893617 ,\n",
    "       0.98930481, 0.98924731, 0.98918919, 0.98913043, 0.98907104,\n",
    "       0.98901099, 0.98895028, 0.98888889, 0.98882682, 0.98876404,\n",
    "       0.98870056, 0.99431818, 0.99428571, 0.99425287, 0.99421965,\n",
    "       0.99418605, 0.99415205, 0.99411765, 0.99408284, 0.99404762,\n",
    "       0.99401198, 0.9939759 , 0.99393939, 0.99390244, 0.99386503,\n",
    "       0.99382716, 0.99378882, 0.99375   , 0.99371069, 0.99367089,\n",
    "       0.99363057, 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
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    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
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    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        ], [0.48188406, 0.48275862, 0.48363636, 0.4845173 , 0.48540146,\n",
    "       0.48628885, 0.48717949, 0.48807339, 0.48897059, 0.48987109,\n",
    "       0.49077491, 0.49168207, 0.49259259, 0.49350649, 0.49442379,\n",
    "       0.49534451, 0.49626866, 0.49719626, 0.49812734, 0.49906191,\n",
    "       0.5       , 0.50094162, 0.50188679, 0.50283554, 0.50378788,\n",
    "       0.50474383, 0.50570342, 0.50666667, 0.50763359, 0.50860421,\n",
    "       0.50957854, 0.51055662, 0.51153846, 0.51252408, 0.51351351,\n",
    "       0.51450677, 0.51550388, 0.51650485, 0.51750973, 0.51851852,\n",
    "       0.51953125, 0.52054795, 0.52156863, 0.52259332, 0.52362205,\n",
    "       0.52465483, 0.5256917 , 0.52673267, 0.52777778, 0.52882704,\n",
    "       0.52988048, 0.53093812, 0.532     , 0.53306613, 0.53413655,\n",
    "       0.53521127, 0.53629032, 0.53737374, 0.53846154, 0.53955375,\n",
    "       0.54065041, 0.54175153, 0.54285714, 0.54396728, 0.54508197,\n",
    "       0.54620123, 0.5473251 , 0.54845361, 0.54958678, 0.55072464,\n",
    "       0.55186722, 0.55301455, 0.55416667, 0.55532359, 0.55648536,\n",
    "       0.55765199, 0.55882353, 0.56      , 0.56118143, 0.56236786,\n",
    "       0.56355932, 0.56475584, 0.56595745, 0.56716418, 0.56837607,\n",
    "       0.56959315, 0.57081545, 0.57204301, 0.57327586, 0.57451404,\n",
    "       0.57575758, 0.57700651, 0.57826087, 0.5795207 , 0.58078603,\n",
    "       0.58205689, 0.58333333, 0.58461538, 0.58590308, 0.58719647,\n",
    "       0.58849558, 0.58980044, 0.59111111, 0.59242762, 0.59375   ,\n",
    "       0.5950783 , 0.59641256, 0.59775281, 0.5990991 , 0.60045147,\n",
    "       0.60180995, 0.6031746 , 0.60454545, 0.60592255, 0.60730594,\n",
    "       0.60869565, 0.61009174, 0.61149425, 0.61290323, 0.61431871,\n",
    "       0.61574074, 0.61716937, 0.61860465, 0.62004662, 0.62149533,\n",
    "       0.62295082, 0.62441315, 0.62588235, 0.62735849, 0.62884161,\n",
    "       0.63033175, 0.63182898, 0.63333333, 0.63484487, 0.63636364,\n",
    "       0.63788969, 0.63942308, 0.64096386, 0.64251208, 0.6440678 ,\n",
    "       0.64563107, 0.64720195, 0.64878049, 0.65036675, 0.65196078,\n",
    "       0.65356265, 0.65517241, 0.65679012, 0.65841584, 0.66004963,\n",
    "       0.66169154, 0.66334165, 0.665     , 0.66666667, 0.66834171,\n",
    "       0.67002519, 0.67171717, 0.67341772, 0.6751269 , 0.67684478,\n",
    "       0.67857143, 0.68030691, 0.68205128, 0.68380463, 0.68556701,\n",
    "       0.6873385 , 0.68911917, 0.69090909, 0.69270833, 0.69451697,\n",
    "       0.69633508, 0.69816273, 0.7       , 0.70184697, 0.7037037 ,\n",
    "       0.70557029, 0.70744681, 0.70933333, 0.71122995, 0.71313673,\n",
    "       0.71505376, 0.71698113, 0.71891892, 0.72086721, 0.72282609,\n",
    "       0.72479564, 0.72677596, 0.72876712, 0.73076923, 0.73278237,\n",
    "       0.73480663, 0.73684211, 0.73888889, 0.74094708, 0.74301676,\n",
    "       0.74509804, 0.74719101, 0.74929577, 0.74858757, 0.75070822,\n",
    "       0.75      , 0.75213675, 0.75428571, 0.75644699, 0.75862069,\n",
    "       0.76080692, 0.76300578, 0.76521739, 0.76744186, 0.7696793 ,\n",
    "       0.77192982, 0.77419355, 0.77647059, 0.77876106, 0.78106509,\n",
    "       0.78338279, 0.78571429, 0.7880597 , 0.79041916, 0.79279279,\n",
    "       0.79518072, 0.79758308, 0.8       , 0.80243161, 0.80487805,\n",
    "       0.80428135, 0.80674847, 0.80615385, 0.80864198, 0.81114551,\n",
    "       0.8136646 , 0.81619938, 0.81875   , 0.82131661, 0.82389937,\n",
    "       0.82649842, 0.82911392, 0.83174603, 0.8343949 , 0.8370607 ,\n",
    "       0.83974359, 0.84244373, 0.84516129, 0.84789644, 0.85064935,\n",
    "       0.8534202 , 0.85620915, 0.85901639, 0.86184211, 0.86468647,\n",
    "       0.86754967, 0.87043189, 0.87333333, 0.87625418, 0.87919463,\n",
    "       0.88215488, 0.88513514, 0.88813559, 0.89115646, 0.89419795,\n",
    "       0.89726027, 0.90034364, 0.90344828, 0.90657439, 0.90972222,\n",
    "       0.91289199, 0.91608392, 0.91578947, 0.91549296, 0.91519435,\n",
    "       0.91489362, 0.91814947, 0.92142857, 0.92114695, 0.92086331,\n",
    "       0.92057762, 0.92028986, 0.92      , 0.92335766, 0.92673993,\n",
    "       0.93014706, 0.9298893 , 0.93333333, 0.93680297, 0.94029851,\n",
    "       0.94007491, 0.93984962, 0.93962264, 0.93939394, 0.9391635 ,\n",
    "       0.94274809, 0.94252874, 0.94230769, 0.94208494, 0.94186047,\n",
    "       0.94552529, 0.94921875, 0.94901961, 0.9488189 , 0.9486166 ,\n",
    "       0.9484127 , 0.94820717, 0.952     , 0.95180723, 0.9516129 ,\n",
    "       0.951417  , 0.95121951, 0.95102041, 0.95081967, 0.95061728,\n",
    "       0.95041322, 0.95020747, 0.95      , 0.94979079, 0.94957983,\n",
    "       0.94936709, 0.94915254, 0.94893617, 0.94871795, 0.9527897 ,\n",
    "       0.95258621, 0.95238095, 0.95217391, 0.95196507, 0.95175439,\n",
    "       0.95594714, 0.95575221, 0.95555556, 0.95535714, 0.95515695,\n",
    "       0.95495495, 0.95475113, 0.95454545, 0.9543379 , 0.95412844,\n",
    "       0.95391705, 0.9537037 , 0.95348837, 0.95794393, 0.95774648,\n",
    "       0.96226415, 0.96682464, 0.97142857, 0.97129187, 0.97596154,\n",
    "       0.97584541, 0.97572816, 0.97560976, 0.9754902 , 0.98029557,\n",
    "       0.98019802, 0.98507463, 0.985     , 0.98492462, 0.98484848,\n",
    "       0.98477157, 0.98979592, 0.98974359, 0.98969072, 0.98963731,\n",
    "       0.98958333, 0.9895288 , 0.98947368, 0.98941799, 0.9893617 ,\n",
    "       0.98930481, 0.98924731, 0.98918919, 0.99456522, 0.99453552,\n",
    "       0.99450549, 0.99447514, 0.99444444, 0.99441341, 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        ]]\n",
    "\n",
    "\n",
    "recalls=[[1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       0.99647887, 0.99295775, 0.99295775, 0.99295775, 0.99295775,\n",
    "       0.99295775, 0.99295775, 0.99295775, 0.99295775, 0.99295775,\n",
    "       0.99295775, 0.99295775, 0.99295775, 0.99295775, 0.99295775,\n",
    "       0.99295775, 0.99295775, 0.99295775, 0.99295775, 0.99295775,\n",
    "       0.99295775, 0.99295775, 0.99295775, 0.98943662, 0.98943662,\n",
    "       0.98943662, 0.98943662, 0.98943662, 0.98591549, 0.98591549,\n",
    "       0.98591549, 0.98591549, 0.98239437, 0.97887324, 0.97887324,\n",
    "       0.97535211, 0.97535211, 0.97535211, 0.97535211, 0.97183099,\n",
    "       0.97183099, 0.96830986, 0.96830986, 0.96830986, 0.96830986,\n",
    "       0.96830986, 0.96830986, 0.96830986, 0.96830986, 0.96478873,\n",
    "       0.96478873, 0.96478873, 0.96126761, 0.96126761, 0.96126761,\n",
    "       0.96126761, 0.95774648, 0.95422535, 0.95422535, 0.95422535,\n",
    "       0.95422535, 0.95422535, 0.95422535, 0.95070423, 0.95070423,\n",
    "       0.9471831 , 0.9471831 , 0.94366197, 0.94366197, 0.94366197,\n",
    "       0.94366197, 0.94366197, 0.94366197, 0.94366197, 0.94014085,\n",
    "       0.93661972, 0.93661972, 0.93309859, 0.92957746, 0.92957746,\n",
    "       0.92605634, 0.92253521, 0.91901408, 0.91549296, 0.91549296,\n",
    "       0.91549296, 0.91549296, 0.91549296, 0.91549296, 0.91549296,\n",
    "       0.91197183, 0.9084507 , 0.9084507 , 0.9084507 , 0.90492958,\n",
    "       0.90140845, 0.89788732, 0.8943662 , 0.89084507, 0.88732394,\n",
    "       0.88380282, 0.88028169, 0.87676056, 0.87323944, 0.86971831,\n",
    "       0.86619718, 0.86619718, 0.86619718, 0.86267606, 0.85915493,\n",
    "       0.8556338 , 0.8556338 , 0.85211268, 0.85211268, 0.84859155,\n",
    "       0.84859155, 0.84859155, 0.84859155, 0.84507042, 0.84507042,\n",
    "       0.84507042, 0.8415493 , 0.83802817, 0.83802817, 0.83450704,\n",
    "       0.83098592, 0.82746479, 0.82394366, 0.82042254, 0.81690141,\n",
    "       0.81338028, 0.80985915, 0.80633803, 0.8028169 , 0.79929577,\n",
    "       0.79577465, 0.79225352, 0.78873239, 0.78521127, 0.78169014,\n",
    "       0.77816901, 0.77464789, 0.77112676, 0.76760563, 0.76408451,\n",
    "       0.76056338, 0.76056338, 0.75704225, 0.75352113, 0.75      ,\n",
    "       0.74647887, 0.74647887, 0.74295775, 0.73943662, 0.73591549,\n",
    "       0.73239437, 0.72887324, 0.72535211, 0.72183099, 0.71830986,\n",
    "       0.71478873, 0.71126761, 0.70774648, 0.70422535, 0.70070423,\n",
    "       0.6971831 , 0.69366197, 0.69366197, 0.69014085, 0.68661972,\n",
    "       0.68309859, 0.67957746, 0.67605634, 0.67253521, 0.66901408,\n",
    "       0.66549296, 0.66197183, 0.6584507 , 0.6584507 , 0.65492958,\n",
    "       0.65492958, 0.65140845, 0.64788732, 0.6443662 , 0.64084507,\n",
    "       0.63732394, 0.63732394, 0.63380282, 0.63028169, 0.62676056,\n",
    "       0.62323944, 0.61971831, 0.61619718, 0.61267606, 0.60915493,\n",
    "       0.6056338 , 0.60211268, 0.59859155, 0.59507042, 0.5915493 ,\n",
    "       0.58802817, 0.58450704, 0.58098592, 0.57746479, 0.57394366,\n",
    "       0.57042254, 0.56690141, 0.56338028, 0.55985915, 0.55633803,\n",
    "       0.5528169 , 0.54929577, 0.54577465, 0.54225352, 0.53873239,\n",
    "       0.53521127, 0.53169014, 0.52816901, 0.52464789, 0.52112676,\n",
    "       0.51760563, 0.51408451, 0.51056338, 0.50704225, 0.50352113,\n",
    "       0.5       , 0.49647887, 0.49295775, 0.48943662, 0.48591549,\n",
    "       0.48239437, 0.47887324, 0.47535211, 0.47183099, 0.46830986,\n",
    "       0.46478873, 0.46126761, 0.45774648, 0.45422535, 0.45070423,\n",
    "       0.4471831 , 0.44366197, 0.44014085, 0.43661972, 0.43309859,\n",
    "       0.42957746, 0.42605634, 0.42253521, 0.41901408, 0.41549296,\n",
    "       0.41197183, 0.4084507 , 0.40492958, 0.40140845, 0.39788732,\n",
    "       0.3943662 , 0.39084507, 0.38732394, 0.38380282, 0.37676056,\n",
    "       0.37323944, 0.36971831, 0.36619718, 0.36267606, 0.35915493,\n",
    "       0.3556338 , 0.35211268, 0.34859155, 0.34507042, 0.3415493 ,\n",
    "       0.33802817, 0.33450704, 0.33098592, 0.32746479, 0.32394366,\n",
    "       0.32042254, 0.31690141, 0.31338028, 0.30985915, 0.30633803,\n",
    "       0.3028169 , 0.29929577, 0.29577465, 0.29225352, 0.28873239,\n",
    "       0.28521127, 0.28169014, 0.27816901, 0.27464789, 0.27112676,\n",
    "       0.26408451, 0.26056338, 0.25704225, 0.25352113, 0.25      ,\n",
    "       0.24647887, 0.24295775, 0.23943662, 0.23591549, 0.23239437,\n",
    "       0.22887324, 0.22535211, 0.22183099, 0.21830986, 0.21478873,\n",
    "       0.21126761, 0.20774648, 0.20422535, 0.20070423, 0.1971831 ,\n",
    "       0.19366197, 0.19014085, 0.18661972, 0.18309859, 0.17957746,\n",
    "       0.17605634, 0.17253521, 0.16901408, 0.16549296, 0.16197183,\n",
    "       0.1584507 , 0.15492958, 0.15140845, 0.14788732, 0.1443662 ,\n",
    "       0.14084507, 0.13732394, 0.13380282, 0.13028169, 0.12676056,\n",
    "       0.12323944, 0.11971831, 0.11619718, 0.11267606, 0.10915493,\n",
    "       0.1056338 , 0.10211268, 0.09859155, 0.09507042, 0.0915493 ,\n",
    "       0.08802817, 0.08450704, 0.08098592, 0.07746479, 0.07042254,\n",
    "       0.06690141, 0.06338028, 0.05985915, 0.05633803, 0.0528169 ,\n",
    "       0.04929577, 0.04577465, 0.04225352, 0.03873239, 0.03521127,\n",
    "       0.03169014, 0.02816901, 0.02464789, 0.02112676, 0.01760563,\n",
    "       0.01408451, 0.01056338, 0.00352113, 0.        ], [1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 0.99657534, 0.99657534,\n",
    "       0.99657534, 0.99315068, 0.99315068, 0.99315068, 0.99315068,\n",
    "       0.99315068, 0.99315068, 0.99315068, 0.99315068, 0.99315068,\n",
    "       0.99315068, 0.99315068, 0.99315068, 0.99315068, 0.99315068,\n",
    "       0.99315068, 0.99315068, 0.99315068, 0.99315068, 0.99315068,\n",
    "       0.99315068, 0.99315068, 0.99315068, 0.99315068, 0.99315068,\n",
    "       0.99315068, 0.98972603, 0.98972603, 0.98972603, 0.98630137,\n",
    "       0.98630137, 0.98630137, 0.98287671, 0.98287671, 0.97945205,\n",
    "       0.97945205, 0.97945205, 0.9760274 , 0.9760274 , 0.9760274 ,\n",
    "       0.9760274 , 0.97260274, 0.96917808, 0.96917808, 0.96575342,\n",
    "       0.96575342, 0.96232877, 0.95890411, 0.95890411, 0.95547945,\n",
    "       0.95547945, 0.95547945, 0.95547945, 0.95547945, 0.95547945,\n",
    "       0.95547945, 0.95547945, 0.95205479, 0.94863014, 0.94863014,\n",
    "       0.94520548, 0.94520548, 0.94520548, 0.94520548, 0.94520548,\n",
    "       0.94178082, 0.93835616, 0.93493151, 0.93493151, 0.93493151,\n",
    "       0.93150685, 0.93150685, 0.93150685, 0.93150685, 0.93150685,\n",
    "       0.93150685, 0.93150685, 0.93150685, 0.93150685, 0.92808219,\n",
    "       0.92465753, 0.92123288, 0.92123288, 0.91780822, 0.91438356,\n",
    "       0.9109589 , 0.9109589 , 0.90753425, 0.90410959, 0.90068493,\n",
    "       0.89726027, 0.89383562, 0.89041096, 0.89041096, 0.89041096,\n",
    "       0.89041096, 0.89041096, 0.89041096, 0.89041096, 0.8869863 ,\n",
    "       0.88356164, 0.88013699, 0.87671233, 0.87328767, 0.86986301,\n",
    "       0.86643836, 0.8630137 , 0.8630137 , 0.85958904, 0.85616438,\n",
    "       0.85616438, 0.85273973, 0.84931507, 0.84589041, 0.84246575,\n",
    "       0.8390411 , 0.83561644, 0.83219178, 0.82876712, 0.82534247,\n",
    "       0.82191781, 0.81849315, 0.81506849, 0.81164384, 0.80821918,\n",
    "       0.80479452, 0.80479452, 0.80136986, 0.79794521, 0.79452055,\n",
    "       0.79109589, 0.79109589, 0.78767123, 0.78424658, 0.78082192,\n",
    "       0.77739726, 0.7739726 , 0.77054795, 0.77054795, 0.76712329,\n",
    "       0.76369863, 0.76027397, 0.75684932, 0.75342466, 0.75      ,\n",
    "       0.75      , 0.74657534, 0.74315068, 0.73972603, 0.73972603,\n",
    "       0.73630137, 0.73630137, 0.73287671, 0.72945205, 0.7260274 ,\n",
    "       0.72260274, 0.71917808, 0.71575342, 0.71232877, 0.70890411,\n",
    "       0.70547945, 0.70205479, 0.69863014, 0.69520548, 0.69178082,\n",
    "       0.68835616, 0.68493151, 0.68150685, 0.67808219, 0.67465753,\n",
    "       0.67123288, 0.66780822, 0.66438356, 0.6609589 , 0.65753425,\n",
    "       0.65410959, 0.65068493, 0.64726027, 0.64383562, 0.64041096,\n",
    "       0.6369863 , 0.63356164, 0.63013699, 0.62671233, 0.62328767,\n",
    "       0.61986301, 0.61643836, 0.6130137 , 0.60958904, 0.60616438,\n",
    "       0.60273973, 0.59931507, 0.59931507, 0.59931507, 0.59589041,\n",
    "       0.59246575, 0.5890411 , 0.5890411 , 0.5890411 , 0.58561644,\n",
    "       0.58219178, 0.57876712, 0.57534247, 0.57191781, 0.56849315,\n",
    "       0.56506849, 0.56164384, 0.55821918, 0.55479452, 0.55136986,\n",
    "       0.54794521, 0.54452055, 0.54109589, 0.53767123, 0.53424658,\n",
    "       0.53082192, 0.52739726, 0.5239726 , 0.52054795, 0.51712329,\n",
    "       0.51369863, 0.51027397, 0.50684932, 0.50342466, 0.5       ,\n",
    "       0.49657534, 0.49315068, 0.48972603, 0.48630137, 0.48287671,\n",
    "       0.47945205, 0.4760274 , 0.47260274, 0.46917808, 0.46575342,\n",
    "       0.46232877, 0.45890411, 0.45547945, 0.45205479, 0.44863014,\n",
    "       0.44520548, 0.44178082, 0.43835616, 0.43493151, 0.43150685,\n",
    "       0.42808219, 0.42465753, 0.42123288, 0.41780822, 0.41438356,\n",
    "       0.4109589 , 0.40753425, 0.40410959, 0.40068493, 0.39726027,\n",
    "       0.39383562, 0.39041096, 0.3869863 , 0.38356164, 0.38013699,\n",
    "       0.37671233, 0.37328767, 0.36986301, 0.36643836, 0.3630137 ,\n",
    "       0.35958904, 0.35616438, 0.35273973, 0.34931507, 0.34589041,\n",
    "       0.34246575, 0.3390411 , 0.33561644, 0.33219178, 0.32876712,\n",
    "       0.32534247, 0.32191781, 0.31849315, 0.31506849, 0.31164384,\n",
    "       0.30821918, 0.30479452, 0.30136986, 0.29794521, 0.29452055,\n",
    "       0.29109589, 0.28767123, 0.28424658, 0.28082192, 0.27739726,\n",
    "       0.2739726 , 0.27054795, 0.26712329, 0.26369863, 0.26027397,\n",
    "       0.25684932, 0.25342466, 0.25      , 0.24657534, 0.24315068,\n",
    "       0.23972603, 0.23630137, 0.23287671, 0.22945205, 0.2260274 ,\n",
    "       0.22260274, 0.21917808, 0.21575342, 0.21232877, 0.20890411,\n",
    "       0.20547945, 0.20205479, 0.19863014, 0.19520548, 0.19178082,\n",
    "       0.18835616, 0.18493151, 0.18150685, 0.17808219, 0.17465753,\n",
    "       0.17123288, 0.16780822, 0.16438356, 0.1609589 , 0.15753425,\n",
    "       0.15410959, 0.15068493, 0.14726027, 0.14383562, 0.14041096,\n",
    "       0.1369863 , 0.13356164, 0.13013699, 0.12671233, 0.12328767,\n",
    "       0.11986301, 0.11643836, 0.1130137 , 0.1130137 , 0.10958904,\n",
    "       0.10616438, 0.10273973, 0.09931507, 0.09589041, 0.09246575,\n",
    "       0.0890411 , 0.08561644, 0.08219178, 0.07876712, 0.07534247,\n",
    "       0.07191781, 0.06849315, 0.06506849, 0.05821918, 0.05479452,\n",
    "       0.05136986, 0.04794521, 0.04452055, 0.04109589, 0.03767123,\n",
    "       0.03424658, 0.03082192, 0.02739726, 0.0239726 , 0.02054795,\n",
    "       0.01712329, 0.01369863, 0.01027397, 0.00342466, 0.        ], [1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 0.99655172,\n",
    "       0.99655172, 0.99655172, 0.99655172, 0.99655172, 0.99655172,\n",
    "       0.99655172, 0.99310345, 0.99310345, 0.99310345, 0.99310345,\n",
    "       0.99310345, 0.98965517, 0.98965517, 0.98965517, 0.98965517,\n",
    "       0.9862069 , 0.9862069 , 0.9862069 , 0.9862069 , 0.9862069 ,\n",
    "       0.9862069 , 0.9862069 , 0.9862069 , 0.9862069 , 0.9862069 ,\n",
    "       0.9862069 , 0.9862069 , 0.9862069 , 0.9862069 , 0.9862069 ,\n",
    "       0.9862069 , 0.9862069 , 0.9862069 , 0.9862069 , 0.9862069 ,\n",
    "       0.9862069 , 0.9862069 , 0.9862069 , 0.9862069 , 0.9862069 ,\n",
    "       0.9862069 , 0.9862069 , 0.9862069 , 0.9862069 , 0.9862069 ,\n",
    "       0.9862069 , 0.9862069 , 0.9862069 , 0.9862069 , 0.9862069 ,\n",
    "       0.9862069 , 0.9862069 , 0.9862069 , 0.9862069 , 0.9862069 ,\n",
    "       0.9862069 , 0.9862069 , 0.98275862, 0.98275862, 0.98275862,\n",
    "       0.98275862, 0.98275862, 0.98275862, 0.98275862, 0.98275862,\n",
    "       0.98275862, 0.98275862, 0.98275862, 0.98275862, 0.98275862,\n",
    "       0.98275862, 0.98275862, 0.98275862, 0.97931034, 0.97931034,\n",
    "       0.97931034, 0.97931034, 0.97931034, 0.97931034, 0.97931034,\n",
    "       0.97931034, 0.97931034, 0.97931034, 0.97931034, 0.97931034,\n",
    "       0.97931034, 0.97931034, 0.97931034, 0.97931034, 0.97931034,\n",
    "       0.97931034, 0.97931034, 0.97931034, 0.97931034, 0.97931034,\n",
    "       0.97931034, 0.97931034, 0.97931034, 0.97931034, 0.97931034,\n",
    "       0.97931034, 0.97931034, 0.97931034, 0.97931034, 0.97931034,\n",
    "       0.97931034, 0.97931034, 0.97931034, 0.97931034, 0.97931034,\n",
    "       0.97931034, 0.97931034, 0.97931034, 0.97586207, 0.97241379,\n",
    "       0.97241379, 0.97241379, 0.97241379, 0.97241379, 0.97241379,\n",
    "       0.97241379, 0.97241379, 0.97241379, 0.97241379, 0.97241379,\n",
    "       0.97241379, 0.97241379, 0.97241379, 0.97241379, 0.97241379,\n",
    "       0.96896552, 0.96896552, 0.96896552, 0.96896552, 0.96551724,\n",
    "       0.96551724, 0.96206897, 0.96206897, 0.96206897, 0.96206897,\n",
    "       0.96206897, 0.96206897, 0.95862069, 0.95862069, 0.95862069,\n",
    "       0.95862069, 0.95862069, 0.95862069, 0.95862069, 0.95862069,\n",
    "       0.95862069, 0.95517241, 0.95517241, 0.95517241, 0.95172414,\n",
    "       0.95172414, 0.95172414, 0.95172414, 0.95172414, 0.95172414,\n",
    "       0.95172414, 0.95172414, 0.95172414, 0.95172414, 0.95172414,\n",
    "       0.95172414, 0.94827586, 0.94827586, 0.94827586, 0.94827586,\n",
    "       0.94827586, 0.94482759, 0.94137931, 0.94137931, 0.94137931,\n",
    "       0.93793103, 0.93793103, 0.93793103, 0.93793103, 0.93793103,\n",
    "       0.93793103, 0.93793103, 0.93793103, 0.93793103, 0.93793103,\n",
    "       0.93793103, 0.93793103, 0.93793103, 0.93793103, 0.93793103,\n",
    "       0.93793103, 0.93448276, 0.93103448, 0.93103448, 0.93103448,\n",
    "       0.93103448, 0.92758621, 0.92413793, 0.92413793, 0.92413793,\n",
    "       0.92068966, 0.91724138, 0.91724138, 0.9137931 , 0.91034483,\n",
    "       0.91034483, 0.91034483, 0.91034483, 0.91034483, 0.91034483,\n",
    "       0.90689655, 0.90689655, 0.90344828, 0.9       , 0.89655172,\n",
    "       0.89310345, 0.89310345, 0.88965517, 0.8862069 , 0.88275862,\n",
    "       0.87931034, 0.87586207, 0.87586207, 0.87241379, 0.86896552,\n",
    "       0.86551724, 0.86551724, 0.86206897, 0.85862069, 0.85517241,\n",
    "       0.85517241, 0.85172414, 0.85172414, 0.84827586, 0.84827586,\n",
    "       0.84827586, 0.84482759, 0.84482759, 0.84137931, 0.83793103,\n",
    "       0.83793103, 0.83793103, 0.83448276, 0.83103448, 0.82758621,\n",
    "       0.82413793, 0.82068966, 0.81724138, 0.8137931 , 0.81034483,\n",
    "       0.80689655, 0.80344828, 0.8       , 0.8       , 0.79655172,\n",
    "       0.79310345, 0.78965517, 0.7862069 , 0.7862069 , 0.78275862,\n",
    "       0.78275862, 0.78275862, 0.77931034, 0.77931034, 0.77931034,\n",
    "       0.77586207, 0.77586207, 0.77241379, 0.77241379, 0.76896552,\n",
    "       0.76551724, 0.76206897, 0.75862069, 0.75517241, 0.75172414,\n",
    "       0.74827586, 0.74482759, 0.74137931, 0.73793103, 0.73448276,\n",
    "       0.73103448, 0.72758621, 0.72413793, 0.72068966, 0.71724138,\n",
    "       0.7137931 , 0.71034483, 0.70689655, 0.70344828, 0.7       ,\n",
    "       0.69655172, 0.69310345, 0.68965517, 0.6862069 , 0.68275862,\n",
    "       0.67931034, 0.67586207, 0.67241379, 0.66896552, 0.66551724,\n",
    "       0.66206897, 0.65862069, 0.65517241, 0.65172414, 0.64827586,\n",
    "       0.64482759, 0.64137931, 0.63793103, 0.63448276, 0.63103448,\n",
    "       0.62758621, 0.62413793, 0.62068966, 0.61724138, 0.6137931 ,\n",
    "       0.61034483, 0.60689655, 0.60344828, 0.6       , 0.59655172,\n",
    "       0.59310345, 0.58965517, 0.5862069 , 0.58275862, 0.57931034,\n",
    "       0.57586207, 0.57241379, 0.56896552, 0.56551724, 0.56206897,\n",
    "       0.55862069, 0.55517241, 0.55172414, 0.54827586, 0.54482759,\n",
    "       0.54137931, 0.53793103, 0.53448276, 0.53103448, 0.52758621,\n",
    "       0.52413793, 0.52068966, 0.51724138, 0.5137931 , 0.51034483,\n",
    "       0.50689655, 0.50344828, 0.5       , 0.49655172, 0.48965517,\n",
    "       0.4862069 , 0.48275862, 0.47931034, 0.47586207, 0.47241379,\n",
    "       0.46896552, 0.46551724, 0.46206897, 0.45862069, 0.45517241,\n",
    "       0.45172414, 0.44827586, 0.44482759, 0.44137931, 0.43793103,\n",
    "       0.43448276, 0.43103448, 0.42758621, 0.42413793, 0.42068966,\n",
    "       0.41724138, 0.4137931 , 0.41034483, 0.40689655, 0.40344828,\n",
    "       0.4       , 0.39655172, 0.39310345, 0.38965517, 0.3862069 ,\n",
    "       0.38275862, 0.37931034, 0.37586207, 0.37241379, 0.36896552,\n",
    "       0.36551724, 0.36206897, 0.35862069, 0.35517241, 0.35172414,\n",
    "       0.34827586, 0.34482759, 0.34137931, 0.33793103, 0.33448276,\n",
    "       0.33103448, 0.32758621, 0.32413793, 0.32068966, 0.31724138,\n",
    "       0.3137931 , 0.31034483, 0.30689655, 0.30344828, 0.3       ,\n",
    "       0.29655172, 0.29310345, 0.28965517, 0.2862069 , 0.28275862,\n",
    "       0.27931034, 0.27586207, 0.27241379, 0.26896552, 0.26551724,\n",
    "       0.26206897, 0.25862069, 0.25517241, 0.25172414, 0.24827586,\n",
    "       0.24482759, 0.24137931, 0.23793103, 0.23448276, 0.23103448,\n",
    "       0.22758621, 0.22413793, 0.22068966, 0.21724138, 0.2137931 ,\n",
    "       0.21034483, 0.20689655, 0.20344828, 0.2       , 0.19655172,\n",
    "       0.19310345, 0.18965517, 0.1862069 , 0.18275862, 0.17931034,\n",
    "       0.17586207, 0.17241379, 0.16896552, 0.16551724, 0.16206897,\n",
    "       0.15862069, 0.15517241, 0.15172414, 0.14827586, 0.14482759,\n",
    "       0.14137931, 0.13793103, 0.13448276, 0.13103448, 0.12758621,\n",
    "       0.12068966, 0.11724138, 0.1137931 , 0.11034483, 0.10689655,\n",
    "       0.10344828, 0.1       , 0.09655172, 0.09310345, 0.08965517,\n",
    "       0.0862069 , 0.08275862, 0.07931034, 0.07586207, 0.07241379,\n",
    "       0.06896552, 0.06551724, 0.06206897, 0.05862069, 0.05517241,\n",
    "       0.05172414, 0.04827586, 0.04482759, 0.04137931, 0.03793103,\n",
    "       0.03448276, 0.03103448, 0.02758621, 0.02413793, 0.02068966,\n",
    "       0.0137931 , 0.01034483, 0.00689655, 0.00344828, 0.        ], [1.        , 1.        , 1.        , 1.        , 1.        ,\n",
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    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 0.99596774, 0.99596774, 0.99596774,\n",
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    "       0.99193548, 0.99193548, 0.99193548, 0.99193548, 0.99193548,\n",
    "       0.99193548, 0.99193548, 0.99193548, 0.99193548, 0.99193548,\n",
    "       0.99193548, 0.99193548, 0.99193548, 0.99193548, 0.99193548,\n",
    "       0.99193548, 0.99193548, 0.99193548, 0.99193548, 0.99193548,\n",
    "       0.99193548, 0.99193548, 0.99193548, 0.99193548, 0.99193548,\n",
    "       0.99193548, 0.99193548, 0.99193548, 0.99193548, 0.99193548,\n",
    "       0.99193548, 0.99193548, 0.99193548, 0.99193548, 0.99193548,\n",
    "       0.99193548, 0.99193548, 0.99193548, 0.99193548, 0.99193548,\n",
    "       0.99193548, 0.99193548, 0.99193548, 0.99193548, 0.99193548,\n",
    "       0.99193548, 0.99193548, 0.99193548, 0.99193548, 0.99193548,\n",
    "       0.99193548, 0.99193548, 0.99193548, 0.98790323, 0.98790323,\n",
    "       0.98387097, 0.98387097, 0.98387097, 0.98387097, 0.98387097,\n",
    "       0.98387097, 0.98387097, 0.98387097, 0.98387097, 0.98387097,\n",
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    "       0.93548387, 0.93548387, 0.93548387, 0.93548387, 0.93548387,\n",
    "       0.93548387, 0.93548387, 0.93548387, 0.93548387, 0.93548387,\n",
    "       0.93548387, 0.93548387, 0.93548387, 0.93548387, 0.93548387,\n",
    "       0.93548387, 0.93548387, 0.93145161, 0.92741935, 0.92741935,\n",
    "       0.9233871 , 0.9233871 , 0.9233871 , 0.9233871 , 0.9233871 ,\n",
    "       0.9233871 , 0.91935484, 0.91935484, 0.91935484, 0.91532258,\n",
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    "       0.89112903, 0.89112903, 0.89112903, 0.89112903, 0.88709677,\n",
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    "       0.70564516, 0.70564516, 0.7016129 , 0.69758065, 0.69354839,\n",
    "       0.68951613, 0.68548387, 0.68145161, 0.67741935, 0.6733871 ,\n",
    "       0.66935484, 0.66532258, 0.66129032, 0.65725806, 0.65322581,\n",
    "       0.64919355, 0.64516129, 0.64112903, 0.63709677, 0.63306452,\n",
    "       0.62903226, 0.62903226, 0.625     , 0.62096774, 0.61693548,\n",
    "       0.61290323, 0.60887097, 0.60483871, 0.60080645, 0.59677419,\n",
    "       0.59274194, 0.58870968, 0.58467742, 0.58064516, 0.5766129 ,\n",
    "       0.57258065, 0.56854839, 0.56451613, 0.56048387, 0.55645161,\n",
    "       0.55241935, 0.5483871 , 0.54435484, 0.54032258, 0.53629032,\n",
    "       0.53225806, 0.52822581, 0.52419355, 0.52016129, 0.51612903,\n",
    "       0.51209677, 0.50806452, 0.50403226, 0.5       , 0.49596774,\n",
    "       0.49193548, 0.48790323, 0.48387097, 0.47983871, 0.47580645,\n",
    "       0.47177419, 0.46774194, 0.46370968, 0.45967742, 0.45564516,\n",
    "       0.4516129 , 0.44758065, 0.44354839, 0.43951613, 0.43548387,\n",
    "       0.43145161, 0.42741935, 0.4233871 , 0.41935484, 0.41532258,\n",
    "       0.41129032, 0.40725806, 0.40322581, 0.39919355, 0.39516129,\n",
    "       0.39112903, 0.38709677, 0.38306452, 0.37903226, 0.375     ,\n",
    "       0.37096774, 0.36693548, 0.36290323, 0.35887097, 0.35483871,\n",
    "       0.35080645, 0.34677419, 0.34274194, 0.33870968, 0.33467742,\n",
    "       0.33064516, 0.3266129 , 0.32258065, 0.31854839, 0.31451613,\n",
    "       0.31048387, 0.30645161, 0.30241935, 0.2983871 , 0.29435484,\n",
    "       0.29032258, 0.28629032, 0.28225806, 0.27822581, 0.27419355,\n",
    "       0.27016129, 0.26612903, 0.26209677, 0.25806452, 0.25      ,\n",
    "       0.24596774, 0.24193548, 0.23790323, 0.23387097, 0.22983871,\n",
    "       0.22580645, 0.22177419, 0.21774194, 0.21370968, 0.20967742,\n",
    "       0.20564516, 0.2016129 , 0.19758065, 0.19354839, 0.18951613,\n",
    "       0.18548387, 0.18145161, 0.17741935, 0.1733871 , 0.16935484,\n",
    "       0.16532258, 0.16129032, 0.15725806, 0.15322581, 0.14919355,\n",
    "       0.14516129, 0.14112903, 0.13709677, 0.13306452, 0.12903226,\n",
    "       0.125     , 0.12096774, 0.11693548, 0.11290323, 0.10887097,\n",
    "       0.10483871, 0.10080645, 0.09677419, 0.09274194, 0.08870968,\n",
    "       0.08467742, 0.08064516, 0.0766129 , 0.07258065, 0.06854839,\n",
    "       0.06451613, 0.06048387, 0.05645161, 0.05241935, 0.0483871 ,\n",
    "       0.04435484, 0.04032258, 0.03629032, 0.03225806, 0.02822581,\n",
    "       0.02419355, 0.02016129, 0.01612903, 0.01209677, 0.00806452,\n",
    "       0.00403226, 0.        ], [1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 1.        , 1.        ,\n",
    "       1.        , 1.        , 1.        , 0.9962406 , 0.9962406 ,\n",
    "       0.9924812 , 0.9924812 , 0.9924812 , 0.9924812 , 0.9924812 ,\n",
    "       0.9924812 , 0.9924812 , 0.9924812 , 0.9924812 , 0.9924812 ,\n",
    "       0.9924812 , 0.9924812 , 0.9924812 , 0.9924812 , 0.9924812 ,\n",
    "       0.9924812 , 0.9924812 , 0.9924812 , 0.9924812 , 0.9924812 ,\n",
    "       0.9924812 , 0.9924812 , 0.9924812 , 0.9924812 , 0.9924812 ,\n",
    "       0.9887218 , 0.9887218 , 0.98496241, 0.98496241, 0.98496241,\n",
    "       0.98496241, 0.98496241, 0.98496241, 0.98496241, 0.98496241,\n",
    "       0.98496241, 0.98496241, 0.98496241, 0.98496241, 0.98496241,\n",
    "       0.98496241, 0.98496241, 0.98496241, 0.98496241, 0.98496241,\n",
    "       0.98496241, 0.98496241, 0.98496241, 0.98496241, 0.98496241,\n",
    "       0.98496241, 0.98496241, 0.98496241, 0.98496241, 0.98496241,\n",
    "       0.98496241, 0.98496241, 0.98496241, 0.98496241, 0.98496241,\n",
    "       0.98496241, 0.98496241, 0.98496241, 0.98496241, 0.98496241,\n",
    "       0.98496241, 0.98496241, 0.98120301, 0.97744361, 0.97368421,\n",
    "       0.96992481, 0.96992481, 0.96992481, 0.96616541, 0.96240602,\n",
    "       0.95864662, 0.95488722, 0.95112782, 0.95112782, 0.95112782,\n",
    "       0.95112782, 0.94736842, 0.94736842, 0.94736842, 0.94736842,\n",
    "       0.94360902, 0.93984962, 0.93609023, 0.93233083, 0.92857143,\n",
    "       0.92857143, 0.92481203, 0.92105263, 0.91729323, 0.91353383,\n",
    "       0.91353383, 0.91353383, 0.90977444, 0.90601504, 0.90225564,\n",
    "       0.89849624, 0.89473684, 0.89473684, 0.89097744, 0.88721805,\n",
    "       0.88345865, 0.87969925, 0.87593985, 0.87218045, 0.86842105,\n",
    "       0.86466165, 0.86090226, 0.85714286, 0.85338346, 0.84962406,\n",
    "       0.84586466, 0.84210526, 0.83834586, 0.83458647, 0.83458647,\n",
    "       0.83082707, 0.82706767, 0.82330827, 0.81954887, 0.81578947,\n",
    "       0.81578947, 0.81203008, 0.80827068, 0.80451128, 0.80075188,\n",
    "       0.79699248, 0.79323308, 0.78947368, 0.78571429, 0.78195489,\n",
    "       0.77819549, 0.77443609, 0.77067669, 0.77067669, 0.76691729,\n",
    "       0.76691729, 0.76691729, 0.76691729, 0.76315789, 0.76315789,\n",
    "       0.7593985 , 0.7556391 , 0.7518797 , 0.7481203 , 0.7481203 ,\n",
    "       0.7443609 , 0.7443609 , 0.7406015 , 0.73684211, 0.73308271,\n",
    "       0.72932331, 0.72932331, 0.72556391, 0.72180451, 0.71804511,\n",
    "       0.71428571, 0.71052632, 0.70676692, 0.70300752, 0.69924812,\n",
    "       0.69548872, 0.69172932, 0.68796992, 0.68796992, 0.68421053,\n",
    "       0.68045113, 0.67669173, 0.67293233, 0.66917293, 0.66917293,\n",
    "       0.66541353, 0.66165414, 0.65789474, 0.65413534, 0.65037594,\n",
    "       0.64661654, 0.64285714, 0.63909774, 0.63533835, 0.63157895,\n",
    "       0.62781955, 0.62406015, 0.62030075, 0.61654135, 0.61278195,\n",
    "       0.60902256, 0.60526316, 0.60150376, 0.59774436, 0.59398496,\n",
    "       0.59022556, 0.58646617, 0.58270677, 0.57894737, 0.57518797,\n",
    "       0.57142857, 0.56766917, 0.56390977, 0.56015038, 0.55639098,\n",
    "       0.55263158, 0.54887218, 0.54511278, 0.54135338, 0.53759398,\n",
    "       0.53383459, 0.53007519, 0.52631579, 0.52255639, 0.51879699,\n",
    "       0.51503759, 0.5112782 , 0.5075188 , 0.5037594 , 0.5       ,\n",
    "       0.4962406 , 0.4924812 , 0.4887218 , 0.48496241, 0.48120301,\n",
    "       0.47744361, 0.47368421, 0.46992481, 0.46616541, 0.46240602,\n",
    "       0.45864662, 0.45488722, 0.45112782, 0.44736842, 0.44360902,\n",
    "       0.43984962, 0.43609023, 0.43233083, 0.42857143, 0.42481203,\n",
    "       0.42105263, 0.41729323, 0.41353383, 0.40977444, 0.40601504,\n",
    "       0.40225564, 0.39849624, 0.39473684, 0.39097744, 0.38721805,\n",
    "       0.38345865, 0.37969925, 0.37593985, 0.37218045, 0.36842105,\n",
    "       0.36466165, 0.36090226, 0.35714286, 0.35338346, 0.34962406,\n",
    "       0.34586466, 0.34210526, 0.33834586, 0.33458647, 0.33082707,\n",
    "       0.32706767, 0.32330827, 0.31954887, 0.31578947, 0.31203008,\n",
    "       0.30827068, 0.30451128, 0.30075188, 0.29699248, 0.29323308,\n",
    "       0.28947368, 0.28571429, 0.28195489, 0.27819549, 0.27443609,\n",
    "       0.27067669, 0.26691729, 0.26315789, 0.2593985 , 0.2556391 ,\n",
    "       0.2518797 , 0.2481203 , 0.2443609 , 0.2406015 , 0.23684211,\n",
    "       0.23308271, 0.22932331, 0.22556391, 0.22180451, 0.21804511,\n",
    "       0.21052632, 0.20676692, 0.20300752, 0.19924812, 0.19548872,\n",
    "       0.19172932, 0.18796992, 0.18421053, 0.18045113, 0.17669173,\n",
    "       0.17293233, 0.16917293, 0.16541353, 0.16165414, 0.15789474,\n",
    "       0.15413534, 0.15037594, 0.14661654, 0.14285714, 0.13909774,\n",
    "       0.13533835, 0.13157895, 0.12781955, 0.12406015, 0.12030075,\n",
    "       0.11654135, 0.10902256, 0.10526316, 0.10150376, 0.09774436,\n",
    "       0.09398496, 0.09022556, 0.08646617, 0.08270677, 0.07894737,\n",
    "       0.07518797, 0.06766917, 0.06390977, 0.06015038, 0.05639098,\n",
    "       0.05263158, 0.04135338, 0.03759398, 0.03383459, 0.03007519,\n",
    "       0.02631579, 0.02255639, 0.01879699, 0.01503759, 0.0112782 ,\n",
    "       0.0037594 , 0.        ]]\n",
    "auc=[0.9791360100903931, 0.9706599051633298, 0.9663595683074492, 0.9686969439728353, 0.9845023397654976]\n",
    "prc=[0.9806285569512897, 0.96506145195687, 0.9755785912845337, 0.9689372242573016, 0.9832742359576913]\n"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "# ROC curves"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "5554b4eb8b010fe1"
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "46d01ba3c42be6c4",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-07T01:22:51.367021Z",
     "start_time": "2024-05-07T01:22:51.356021800Z"
    }
   },
   "outputs": [],
   "source": [
    "def plot_auc_curves(fprs, tprs, auc, directory, name):\n",
    "    mean_fpr = np.linspace(0, 1, 20000)\n",
    "    tpr = []\n",
    "\n",
    "    for i in range(len(fprs)):\n",
    "        tpr.append(np.interp(mean_fpr, fprs[i], tprs[i]))\n",
    "        tpr[-1][0] = 0.0\n",
    "        plt.plot(fprs[i], tprs[i], alpha=0.4, linestyle='--', label='Fold %d AUC: %.4f' % (i + 1, auc[i]))\n",
    "\n",
    "    mean_tpr = np.mean(tpr, axis=0)\n",
    "    mean_tpr[-1] = 1.0\n",
    "    # mean_auc = metrics.auc(mean_fpr, mean_tpr)\n",
    "    mean_auc = np.mean(auc)\n",
    "    auc_std = np.std(auc)\n",
    "    plt.plot(mean_fpr, mean_tpr, color='BlueViolet', alpha=0.9, label='Mean AUC: %.4f' % mean_auc)\n",
    "\n",
    "    plt.plot([0, 1], [0, 1], linestyle='--', color='black', alpha=0.4)\n",
    "\n",
    "    # std_tpr = np.std(tpr, axis=0)\n",
    "    # tpr_upper = np.minimum(mean_tpr + std_tpr, 1)\n",
    "    # tpr_lower = np.maximum(mean_tpr - std_tpr, 0)\n",
    "    # plt.fill_between(mean_fpr, tpr_lower, tpr_upper, color='LightSkyBlue', alpha=0.3, label='$\\pm$ 1 std.dev.')\n",
    "    plt.xticks(fontsize=10)\n",
    "    plt.yticks(fontsize=10)\n",
    "    plt.xlim([-0.05, 1.05])\n",
    "    plt.ylim([-0.05, 1.05])\n",
    "    plt.xlabel('False Positive Rate', fontsize=12)\n",
    "    plt.ylabel('True Positive Rate', fontsize=12)\n",
    "    plt.title('ROC curve', fontsize=14)\n",
    "    plt.legend(loc='lower right', frameon=True, fontsize=10)\n",
    "    plt.savefig(directory+'/%s.pdf' % name, dpi=300, bbox_inches='tight')\n",
    "    plt.show()\n",
    "    plt.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "# PR curves"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "5bc2167da339e711"
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6472a55f089c10be",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-07T01:22:51.392024500Z",
     "start_time": "2024-05-07T01:22:51.373024900Z"
    }
   },
   "outputs": [],
   "source": [
    "def plot_prc_curves(precisions, recalls, prc, directory, name):\n",
    "    mean_recall = np.linspace(0, 1, 20000)\n",
    "    precision = []\n",
    "\n",
    "    for i in range(len(recalls)):\n",
    "        precision.append(np.interp(1-mean_recall, 1-np.array(recalls[i]), np.array(precisions[i])))\n",
    "        precision[-1][0] = 1.0\n",
    "        plt.plot(recalls[i], precisions[i], alpha=0.4, linestyle='--', label='Fold %d AUPR: %.4f' % (i + 1, prc[i]))\n",
    "\n",
    "    mean_precision = np.mean(precision, axis=0)\n",
    "    mean_precision[-1] = 0\n",
    "    # mean_prc = metrics.auc(mean_recall, mean_precision)\n",
    "    mean_prc = np.mean(prc)\n",
    "    prc_std = np.std(prc)\n",
    "    plt.plot(mean_recall, mean_precision, color='BlueViolet', alpha=0.9,\n",
    "             label='Mean AUPR: %.4f' % mean_prc)  # AP: Average Precision\n",
    "\n",
    "    plt.plot([1, 0], [0, 1], linestyle='--', color='black', alpha=0.4)\n",
    "    plt.xticks(fontsize=10)\n",
    "    plt.yticks(fontsize=10)\n",
    "    plt.xlim([-0.05, 1.05])\n",
    "    plt.ylim([-0.05, 1.05])\n",
    "    plt.xlabel('Recall', fontsize=12)\n",
    "    plt.ylabel('Precision', fontsize=12)\n",
    "    plt.title('PR curve', fontsize=14)\n",
    "    plt.legend(loc='lower left', frameon=True, fontsize=10)\n",
    "    plt.savefig(directory + '/%s.pdf' % name, dpi=300, bbox_inches='tight')\n",
    "    plt.show()\n",
    "    plt.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "# ROC curves of the MAHN model under five-fold cross-validation"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "eb5fb7eec33b15ba"
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3852817cad56dc2d",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-07T01:22:51.781949700Z",
     "start_time": "2024-05-07T01:22:51.388038500Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_auc_curves(fprs, tprs, auc, directory='result', name='test_auc')"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "# PR curves of the MAHN model under five-fold cross-validation"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "3e8556e0afbd28c9"
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "d7633229ef5ba093",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-07T01:22:52.020287800Z",
     "start_time": "2024-05-07T01:22:51.782951800Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_prc_curves(precisions, recalls, prc, directory='result', name='test_prc')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
